Metric-affine myrzakulov gravity theories


Myrzakulov N. Myrzakulov R. Ravera L.
October 2021MDPI

Symmetry
2021#13Issue 10

In this paper, we review the so-called Myrzakulov Gravity models (MG-N, with N = I, II, …, VIII) and derive their respective metric-affine generalizations (MAMG-N), discussing also their particular sub-cases. The field equations of the theories are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the case in which the function characterizing the aforementioned metric-affine models is linear and consider a Friedmann-Lemaître–Robertson–Walker background to study cosmological aspects and applications. Historical motivation for this research is thoroughly reviewed and specific physical motivations are provided for the aforementioned family of alternative theories of gravity.

Gravitation and cosmology , Metric-affine gravity , Modified gravity

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Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan, 010008, Kazakhstan
DISAT, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, 10129, Italy
INFN, Sezione di Torino, Via P. Giuria 1, Torino, 10125, Italy

Eurasian International Centre for Theoretical Physics
Department of General and Theoretical Physics
DISAT
INFN

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